Calc2.34

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Find the derivative of f(x)\, with respect to x\,: f(x)=\frac{x\sin x}{e^x}\,

This problem involves the quotient rule. But, on top of that, when taking the derivative of the top, you'll have to do a product rule.

f'(x)\, =\frac{e^x(x\cos x+\sin x)-xe^x\sin x}{(e^x)^2}\,
=\frac{e^x(x\cos x-x\sin x+\sin x)}{(e^x)^2}\,
=\frac{x\cos x-x\sin x+\sin x}{e^x}\,




Main Page : Calculus

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